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Finding the Third Proportional to 9,261.56 and 20,279.81

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Solution

The third proportional to 9,261.56 and 20,279.81 is: 44,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.56 : 20,279.81 = 20,279.81 : x
  2. Step 2: Convert to fraction form
    9,261.56/20,279.81 = 20,279.81/x
  3. Step 3: Cross multiply
    9,261.56x = 20,279.81 × 20,279.81
  4. Step 4: Simplify right side
    9,261.56x = 411,270,795.04
  5. Step 5: Solve for x
    x = 411,270,795.04/9,261.56
  6. Step 6: Final answer
    x = 44,406.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.